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Question
krusty was told that a certain itching powder was the newest best thing on the market, it even claims to cause 50% longer lasting itches. interested in this product, he buys the itching powder and compares it to his usual product. one test subject (a) is sprinkled with the original itching powder, and another test subject (b) was sprinkled with the experimental itching powder. subject a reported having itches for 30 minutes. subject b reported to have itches for 45 minutes. identify the- 16. control group 17. independent variable 18. dependent variable 19. explain whether the data supports the advertisements claims about its product.
- Control Group: In an experiment, the control group is the group that does not receive the experimental treatment. Here, Subject A is using the original itching powder (not the new experimental one), so it serves as the baseline for comparison.
- Independent Variable: The independent variable is the factor that is changed or manipulated in an experiment. In this case, it is the type of itching powder (original vs. experimental).
- Dependent Variable: The dependent variable is what is measured in an experiment. It depends on the independent variable. Here, it is the duration of the itch.
- Data Support for Claim: The advertisement claims a 50% longer - lasting itch. Calculate the 50% increase of the control group's itch time. If the control group (Subject A) has an itch time of \(t = 30\) minutes, a 50% increase is \(30+(30\times0.5)=45\) minutes. Since Subject B (experimental group) had an itch time of 45 minutes, the data supports the claim.
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- Subject A (sprinkled with original itching powder)
- Type of itching powder (original or experimental)
- Duration of itch
- The data supports the advertisement's claim. The control group (Subject A) had an itch duration of 30 minutes. A 50% increase of 30 minutes is \(30+(30\times0.5) = 45\) minutes. The experimental group (Subject B) had an itch duration of 45 minutes, which matches the 50% - increase claim.